Greatest Common Factor of 4616 and 4624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 4616, 4624 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4616 and 4624 is 8.

GCF(4616,4624) = 8

GCF of 4616 and 4624

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4616 and 4624

GCF of 4616 and 4624 is 8

Prime Factorization of 4616


2 4616
2 2308
2 1154
577 577
1

Prime factors of 4616 are 2,577. Prime factorization of 4616 in exponential form is:

4616 = 23×5771

Prime Factorization of 4624


2 4624
2 2312
2 1156
2 578
17 289
17 17
1

Prime factors of 4624 are 2,17. Prime factorization of 4624 in exponential form is:

4624 = 24×172

∴ So by taking common prime factors GCF of 4616 and 4624 is 8

Greatest Common Factor of 4616 and 4624 by matching factors method

Factors of 4616

List of positive integer factors of 4616 that divides 4616 without a remainder.

1,2,4,8,577,1154,2308,4616

Factors of 4624

List of positive integer factors of 4624 that divides 4624 without a remainder.

1,2,4,8,16,17,34,68,136,272,289,578,1156,2312,4624

Greatest Common Factor

We found the factors and prime factorization of 4616 and 4624. The biggest common factor number is the GCF number.
So the greatest common factor 4616 and 4624 is 8.

Also check out the Least Common Multiple of 4616 and 4624

Properties of GCF 4616 and 4624

(i) The GCF of 4616 and 4624 is associative

GCF of 4616 and 4624 = GCF of 4624 and 4616

Related Greatest Common Factor of 4616

Related Greatest Common Factor of 4624

Frequently Asked Questions on GCF of 4616 and 4624

1. What is the GCF of 4616 and 4624?

Answer: GCF of 4616 and 4624 is 8.

2. What are the Factors of 4616?

Answer: Factors of 4616 are 1, 2, 4, 8, 577, 1154, 2308, 4616. There are 8 integers that are factors of 4616. The greatest factor of 4616 is 4616.

3. What are the Factors of 4624?

Answer: Factors of 4624 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 289, 578, 1156, 2312, 4624. There are 15 integers that are factors of 4624. The greatest factor of 4624 is 4624.

4. How to Find the GCF of 4616 and 4624?

Answer:

Greatest Common Factor of 4616 and 4624 = 8

Step 1: Find the prime factorization of 4616

4616 = 2 x 2 x 2 x 577

Step 2: Find the prime factorization of 4624

4624 = 2 x 2 x 2 x 2 x 17 x 17

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4616 and 4624 is 8